Ryan and Justin had some allowance in the ratio of 3 : 8. They shared some money to buy a bracelet for their father. The ratio of the amount paid by Ryan to the amount paid by Justin was 1 : 2. If Justin was left with $60 and Ryan had spent
23 of his money, how much was the bracelet they bought?
| |
Ryan |
Justin |
| Before |
3 u |
8 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
60 |
The amount that Ryan spent is repeated. Make the amount that Ryan spent the same. LCM of 1 and 2 is 2.
Amount that Ryan spent
=
23 x 3 u
= 2 u
Amount that Justin spent
= 2 x 2 u
= 4 u
Amount that Justin had left
= 8 u - 4 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 15
= $90
Answer(s): $90
